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Finding the Fourth Proportional to 3,201.70, 4,802.78 and 1,815.70

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Solution

The fourth proportional to 3,201.70, 4,802.78 and 1,815.70 is: 2,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.70 : 4,802.78 = 1,815.70 : x
  2. Step 2: Convert to fraction form
    3,201.70/4,802.78 = 1,815.70/x
  3. Step 3: Cross multiply
    3,201.70x = 4,802.78 × 1,815.70
  4. Step 4: Simplify right side
    3,201.70x = 8,720,407.65
  5. Step 5: Solve for x
    x = 8,720,407.65/3,201.70
  6. Step 6: Final answer
    x = 2,723.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.